Find the LCM of 96 and 360 by using fundamental theorem of Arithemetic
Answers
Answered by
119
It is similar to the prime factorization of 96 & 360. Just find out the prime factors of these nos. as while prime factorizing and multiply them. You'll get 1440 as tthe ans.
2 | 96,360
2 | 48,180
2 | 24,90
3 | 12,45
4 | 4,15
15| 1,1
LCM =2*2*2*3*4*15
=1440
its that simple.
hope it helps.
2 | 96,360
2 | 48,180
2 | 24,90
3 | 12,45
4 | 4,15
15| 1,1
LCM =2*2*2*3*4*15
=1440
its that simple.
hope it helps.
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Answered by
72
fundamental theorem of arithmetic:
Every composite number can be expressed as a product of powers of primes, and this factorization is unique, apart from the order in which the prime factors occur
96= 2^5*3
360=2^3*3^2*5
lcm(96,360)=product of the greatest power of each prime factors, in the numbers
=2^5*3^2*5
=1440
Every composite number can be expressed as a product of powers of primes, and this factorization is unique, apart from the order in which the prime factors occur
96= 2^5*3
360=2^3*3^2*5
lcm(96,360)=product of the greatest power of each prime factors, in the numbers
=2^5*3^2*5
=1440
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